Borel selectors for separated quotients

Douglas Edward Miller

Vol. 91 (1980), No. 1, 187–198

DOI: 10.2140/pjm.1980.91.187

Abstract

We use a nonstandard version of the Kuratowski, Ryll-Nardzewski general selection theorem to establish the existence of Borel measurable selectors for certain equivalence relations on Polish spaces.

Mathematical Subject Classification 2000

Primary: 54C65

Secondary: 54H15

Milestones

Received: 7 November 1978

Revised: 22 April 1980

Published: 1 November 1980